davie and horatio are riding their motorbikes on a scenic tour that is 80 miles long. davie rides at 20…

davie and horatio are riding their motorbikes on a scenic tour that is 80 miles long. davie rides at 20 miles per hour and leaves 90 minutes before horatio. how fast must horatio ride to finish at the same time as davie?\n24 mph\n24.5 mph\n32 mph\n33.3 mph

davie and horatio are riding their motorbikes on a scenic tour that is 80 miles long. davie rides at 20 miles per hour and leaves 90 minutes before horatio. how fast must horatio ride to finish at the same time as davie?\n24 mph\n24.5 mph\n32 mph\n33.3 mph

Answer

Explanation:

Step1: Calculate Davie's time

Use formula $t = \frac{d}{v}$, where $d = 80$ miles and $v = 20$ mph. So $t_{Davie}=\frac{80}{20}=4$ hours.

Step2: Adjust for Davie's head - start

Davie leaves 90 minutes (or 1.5 hours) before Horatio. So Horatio's time $t_{Horatio}=4 - 1.5=2.5$ hours.

Step3: Calculate Horatio's speed

Use formula $v=\frac{d}{t}$, with $d = 80$ miles and $t = 2.5$ hours. So $v_{Horatio}=\frac{80}{2.5}=32$ mph.

Answer:

C. 32 mph